Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

what is (cosx/sinx)/sinxcosx simplified

OpenStudy (abb0t):

\[\frac{ \cos(x) }{ \sin(x) } \times \frac{ \sin(x)\cos(x) }{ 1 }\]

zepdrix (zepdrix):

\[\large \frac{\left(\dfrac{\cos x}{\sin x}\right)}{\sin x \cos x}\]Woops I dunno if you're looking at it correctly abbot :O Only the top one is a fraction.

zepdrix (zepdrix):

\[\large \frac{\left(\dfrac{\cos x}{\sin x}\right)}{\sin x \cos x} \qquad = \qquad \left(\frac{\cos x}{\sin x}\right)\frac{1}{\sin x \cos x}\]

OpenStudy (anonymous):

ya but what about multiplying by the recipricol.... cause i am seriously confused.

zepdrix (zepdrix):

\[\large \left(\frac{\cancel{\cos x}}{\sin x}\right)\frac{1}{\sin x \cancel{\cos x}}\]

zepdrix (zepdrix):

Ok here's the thing with the reciprocal :) lemme explain.

OpenStudy (anonymous):

ok sounds good

zepdrix (zepdrix):

The bottom fraction is actually this,\[\large \frac{\sin x \cos x}{1}\] So if you wanted to write it as a division of fractions, you could write it like this,\[\large \frac{\left(\dfrac{\cos x}{\sin x}\right)}{\sin x \cos x} \qquad = \qquad \frac{\left(\dfrac{\cos x}{\sin x}\right)}{\left(\dfrac{\sin x \cos x}{1}\right)}\]And then from here, we could multiply by the reciprocal of the bottom fraction.

OpenStudy (anonymous):

aha!!!!! now it's making sense!!!

zepdrix (zepdrix):

When we started this problem, we weren't dividing fractions. Only the top one was a fraction. Maybe that's why there was a little confusion :)

OpenStudy (anonymous):

i think so...this is the only one that i've been confused over so far... thank you:)

OpenStudy (anonymous):

i got the right answer. thanks a billion

zepdrix (zepdrix):

yay!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!